Nonexistence of linear operators extending Lipschitz (pseudo)metrics
نویسندگان
چکیده
منابع مشابه
On linear functorial operators extending pseudometrics
For a functor F ⊃ Id on the category of metrizable compacta, we introduce a conception of a linear functorial operator T = {TX : Pc(X) → Pc(FX)} extending (for each X) pseudometrics from X onto FX ⊃ X (briefly LFOEP for F ). The main result states that the functor SP G of G-symmetric power admits a LFOEP if and only if the action of G on {1, . . . , n} has a one-point orbit. Since both the hype...
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ژورنال
عنوان ژورنال: Publicationes Mathematicae Debrecen
سال: 2012
ISSN: 0033-3883
DOI: 10.5486/pmd.2012.4913